13758048 has 144 divisors (see below), whose sum is σ = 42771456. Its totient is φ = 4181760.

The previous prime is 13758029. The next prime is 13758077. The reversal of 13758048 is 84085731.

13758048 is a `hidden beast` number, since 1 + 37 + 580 + 48 = 666.

13758048 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205311 + ... + 205377.

It is an arithmetic number, because the mean of its divisors is an integer number (297024).

Almost surely, 2^13758048 is an apocalyptic number.

13758048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13758048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21385728).

13758048 is an abundant number, since it is smaller than the sum of its proper divisors (29013408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13758048 is a wasteful number, since it uses less digits than its factorization.

13758048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 13758048 is about 3709.1842768997. The cubic root of 13758048 is about 239.6177247635.

It can be divided in two parts, 137 and 58048, that added together give a palindrome (58185).

The spelling of 13758048 in words is "thirteen million, seven hundred fifty-eight thousand, forty-eight".